Question

The power dissipated in the circuit shown in the figure is 30 Watts. The value of \( R \) is

• A. 20 \(\Omega\)
• B. 15 \(\Omega\)
• C. 10 \(\Omega\)
• D. 30 \(\Omega\)

Hint:

For power dissipation in a resistor, use \( P = \frac{V^2}{R} \), where \( P \) is power, \( V \) is voltage, and \( R \) is resistance.

Answer 1

The Correct Option is B

Step 1: Use the formula for power dissipation in a resistor.
The formula for power is \( P = \frac{V^2}{R} \), where \( P = 30 \, \text{W} \) and \( V = 10 \, \text{V} \). Substituting the values, we get: \[ 30 = \frac{10^2}{R} \quad \Rightarrow \quad R = \frac{100}{30} = 15 \, \Omega \]
Final Answer: \[ \boxed{15 \, \Omega} \]